In JBoss7 we\'ve restricted number of web connections by using this
Try add under filters definition
<filters>
<connection-limit name="limit-connections" max-concurrent-requests="3000" queue-size="100"/>
</filters>
and then under host or location add (depends on your need)
<filter-ref name="limit-connections"/>
See a configuration example and Model Reference
Also take a look in Configuring the Web server Pool: http://www.javacodegeeks.com/2014/01/entering-undertow-web-server.html
The above comment from Federico Sierra is correct. But in Wildfly 10.x the filter name 'connection-limit' doesn't exist anymore. Instead it is now called 'request-limit'.
So for Wildfly 10.x add filter reference in the untertow subsystem inside 'server' and 'host' context and the request-limit filter inside the 'filters' context:
<subsystem xmlns="urn:jboss:domain:undertow:3.1">
[...]
<server name="default-server">
[...]
<host name="default-host" alias="localhost">
<location name="/" handler="welcome-content"/>
[...]
<filter-ref name="limit-connections"/>
</host>
</server>
[...]
<filters>
<response-header name="server-header" header-name="Server" header-value="WildFly/10"/>
<response-header name="x-powered-by-header" header-name="X-Powered-By" header-value="Undertow/1"/>
<request-limit name="limit-connections" max-concurrent-requests="3000" queue-size="100"/>
</filters>
</subsystem>
Reference: https://github.com/wildfly/wildfly/blob/master/undertow/src/test/resources/org/wildfly/extension/undertow/undertow-3.1.xml