Use microsoft's tool for remote commands executions: PsExec
If there isn't your bat-file on remote host, copy it first. For example:
copy D:\apache-tomcat-6.0.20\apache-tomcat-7.0.30\bin\shutdown.bat \\RemoteServerNameOrIP\d$\apache-tomcat-6.0.20\apache-tomcat-7.0.30\bin\
And then execute:
psexec \\RemoteServerNameOrIP d:\apache-tomcat-6.0.20\apache-tomcat-7.0.30\bin\shutdown.bat
Note: filepath for psexec is path to file on remote server, not your local.