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The international monetary system is the glue that binds national economies together. Its role is to lend order and stability to foreign exchange markets, to encourage the elimination of balance-of-payments problems, and to provide access to international credits in the event of disruptive shocks.
Globalizing Capital: A History of the International Monetary System by Barry Eichengreen, 2008

http://library.aceondo.net/ebooks/HISTORY/Globalizing_Capital__A_History_of_the_International_Monetary_System__Second_Edition_.pdf

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International monetary system refers to the system and rules that govern the use and exchange of money around the world and between countries. Each country has its own currency as money and the international monetary system governs the rules for valuing and exchanging these currencies.

International Business: Opportunities and Challenges in a Flattening World, v. 1.0. By: Mason Carpenter and Sanjyot P. Dunung.

http://jsmith.cis.byuh.edu/books/challenges-and-opportunities-in-international-business/s01
-about-the-authors.html

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An international monetary system should provide a stable and predictable environment for international trade and investment. At the very least, it should not by itself be a source of disturbances in the world economy, and it should be designed so that policy errors or unforeseen shocks are not unduly transmitted between countries. In this perspective, worldwide integration of goods and financial markets present a particular challenge. Such integration increases the cross-border effects of economic policies at the same time as interlocking payments and financial systems transmit financial disturbances rapidly throughout the world.

http://www.springer.com/la/book/9783642796838

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international monetary system is thus expected to provide the framework that ensures adequate liquidity without fuelling in ation and enables global imbalances to be corrected, or restricts their emergence, while facilitating an orderly payments system.

https://www.chathamhouse.org/sites/files/chathamhouse/public/Research/International%20Economics/r0212gold.pdf

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International monetary system refers to a system that forms rules and standards for facilitating international trade among the nations.
http://www.economicsdiscussion.net/articles/international-monetary-system/4256
Economic discussions paper

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monetary system

Any formal structure adapted by a governmentthat issues a currency which is accepted as the medium of exchange by its citizens and by other governments. Most monetary systems are managed by a central bank which is given the authority to print money and control its supply in the economy.

http://www.investorwords.com/19130/monetary_system.html

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https://www.chathamhouse.org/sites/files/chathamhouse/field/field_document/0212gt_fosler.pdf
"International Monetary System vs. International Financial System — and the Significance for Policy Makers"

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International Monetary System is the collection of three key attributes: (i) the supply of and demand for reserve assets; (ii) the exchange rate regime; and (iii) international monetary institutions. (https://www.kellogg.northwestern.edu/~/media/ims.ashx)(A Model of the International Monetary System -Harward University, Department of Economics-
Emmanuel Farhi∗ Matteo Maggiori† )

The international monetary system is the set of rules, conventions, and institutions associated with monetary policy, official capital flows, and exchange rates. It also includes mechanisms to provide official sector support to countries facing funding pressures. The international financial system is much broader, encompassing both private and official participants in global financial markets. I consider this distinction important in thinking about how to reduce the incidence and severity of future crises while preserving a prosperous global economy.
(https://www.federalreserve.gov/newsevents/speech/yellen20110304a.htm -
Improving the International Monetary and Financial System

Vice Chair Janet L. Yellen

At the Banque de France International Symposium, Paris, France)

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A system linking the currencies of various countries, which ensures the stability of the exchange rates between them and  depends on the monetary rules adopted in each country and on international arbitrage (see that definition) between the foreign exchange markets.
https://www.igi-global.com/dictionary/international-monetary-system/15348
“IGI Global”

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The international monetary system consists of (i) exchange rate arrangements; (ii) capital flows; and (iii) a collection of institutions, rules, and conventions that govern its operation. Domestic monetary policy frameworks dovetail, and are essential to, the global system. A well-functioning system promotes economic growth and prosperity through the efficient allocation of resources, increased specialization in production based on comparative advantage, and the diversification of risk. It also encourages macroeconomic and financial stability by adjusting real exchange rates to shifts in trade and capital flows.
http://www.bankofcanada.ca/2009/11/evolution-international-monetary-system/
" The Evolution of the International Monetary System" Speech of Mark Carney

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The IMFS comprises the arrangements governing transactions in goods, services and financial instruments among countries. Today, it consists of a set of domestically oriented policies in a world of largely free capital flows. Domestic monetary regimes focus mainly on price stability, while currencies are allowed to float to varying degrees: free floating among the principal international currencies coexists with greater or lesser management of other currencies. Financial regimes generally allow funds to move freely across currencies and borders, although some countries still impose restrictions. The main restraint on financial transactions takes the form of prudential regulation and supervision, in part based on internationally agreed standards.
http://www.bis.org/publ/arpdf/ar2015e5.htm
85th annual report 2014/15

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The international financial system (IFS) constitutes the full range of interest‐ and return‐bearing assets, bank and nonbank financial institutions, financial markets that trade and determine the prices of these assets, and the nonmarket activities (e.g., private equity transactions, private equity/hedge fund joint ventures, leverage buyouts whether bank financed or not, etc.) through which the exchange of financial assets can take place. The IFS lies at the heart of the global credit creation and allocation process.

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An international monetary system can be regarded as (i) the set of conventions, rules and policy instruments as well as (ii) the economic, institutional and political environment which determine the delivery of two fundamental global public goods: an international currency (or currencies) and external stability.
https://www.ecb.europa.eu/pub/pdf/scpops/ecbocp123.pdf?de072a4169aee9ec7ca469392d3d3962