Don't add keep-alives for apps after the app keep-alive service has shut down.

apps/app_keep_alive_service_unittest.cc

Index: apps/app_keep_alive_service_unittest.cc
diff --git a/apps/app_keep_alive_service_unittest.cc b/apps/app_keep_alive_service_unittest.cc
index 3478162e8b577b183509bb5cf7ea723d6eedca57..9f08d76ef3983210181ed67edd801230cf9b0afa 100644
--- a/apps/app_keep_alive_service_unittest.cc
+++ b/apps/app_keep_alive_service_unittest.cc
@@ -78,6 +78,14 @@ TEST_F(AppKeepAliveServiceUnitTest, StartMoreThanOnce) {
   EXPECT_FALSE(chrome::WillKeepAlive());
 }
 
+// Test that OnAppStart is ignored after the service has been shut down.
+TEST_F(AppKeepAliveServiceUnitTest, StartAfterShutdown) {
+  ASSERT_FALSE(chrome::WillKeepAlive());
+  service_->Shutdown();
+  service_->OnAppStart(&profile_, "foo");
+  EXPECT_FALSE(chrome::WillKeepAlive());
+}
+
 TEST_F(AppKeepAliveServiceUnitTest, MultipleApps) {
   ASSERT_FALSE(chrome::WillKeepAlive());
   service_->OnAppStart(&profile_, "foo");